The top-quark Yukawa coupling has a special role in the naturalness problem, displaying the dominant quantum corrections to the Higgs mass. Thus, it is crucially important to probe the Higgs-top interaction at high scales into the ultra-violet regime.
It is well-motivated to consider that the top-quark and Higgs boson may not be fundamental, but composite particles arising from strongly interacting new dynamics at a scale \(\Lambda \)  [1]}, [2]}, [3]}. In such scenarios,
the top Yukawa may exhibit a momentum-dependent form-factor near or above the new physics scale \(\Lambda \) , rather than a point-like interaction. It is challenging to write a form-factor, in a general form, without prior knowledge of the underlying strong dynamics of the specific composite scenario. Inspired by the nucleon form-factor [4]}, we adopt the following phenomenological ansatz
\(\Gamma (Q^2/\Lambda ^2)=\frac{1}{\left(1+Q^2/\Lambda ^2\right)^n}\,,\) 
